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4 September, 13:53

Solve the following system of equations: x - 2y = 14 x + 3y = 9

a. (1, 12)

b. (-1, - 12)

c. (12, - 1)

d. (12, 1)

+1
Answers (1)
  1. 4 September, 17:24
    0
    Solve your system of equations step by step.

    x-2y=14; x+3y=9

    Solve x-2y=14 for x:

    x-2y+2y=14+2y (Add 2y to both sides)

    x=2y+14

    Substitute (2y+14) for x in x+3y=9:

    x+3y=9

    2y+14+3y=9

    5y+14=9 (Simplify both sides of the equation)

    5y+14+-14=9+-14 (Add - 14 to both sides)

    5y=-5

    5y5=-55 (Divide both sides by 5)

    y=-1

    Substitute (-1) for y in x=2y+14:

    x=2y+14

    x = (2) (-1) + 14

    x=12 (Simplify both sides of the equation)

    So,

    y=-1

    x=12

    Answer is C)
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